rocker vs rocking chair

rocker and rocking chair both are nouns.

Word	Noun	Adjective	Verb	Adverb
rocker	Yes	No	No	No
rocking chair	Yes	No	No	No

As nouns, rocker and rocking chair are synonyms defined as:

rocker (noun)	rocking chair (noun)
a curved support that permits the supported object to rock to and fro	a chair mounted on rockers
a chair mounted on rockers
an ice skate with a curved blade
a trough that can be rocked back and forth; used by gold miners to shake auriferous earth in water in order to separate the gold
a teenager or young adult in the 1960s who wore leather jackets and rode motorcycles
a performer or composer or fan of rock music
an attendant who rocks a child in a cradle